Quantization of symplectic manifolds with conical points

DOI10.1007/BF01027798zbMath0526.53041OpenAlexW2075995656MaRDI QIDQ594396

V. P. Maslov, Mikhail V. Karasev

Publication date: 1983

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01027798

zbMATH Keywords

quantization conditionmanifolds with singularitiesnonlinear symplectic manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Geometric quantization (53D50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gauss-Bonnet theorem for \(V\)-manifolds
• Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations
• Reduction of symplectic manifolds with symmetry
• Deformation theory and quantization. I: Deformations of symplectic structures
• The Weyl functional calculus
• Construction of unitary irreducible representations of Lie groups
• Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
• Symplectic v‐manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds
• On geometric quantization and its connections with the Maslov theory

This page was built for publication: Quantization of symplectic manifolds with conical points